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LOCALLY VARYING DISSIPATION SCALES IN TURBULENT FLOWS

Jorg Schumacher
Fachbereich Physik, Philipps-Universitat Marburg; Theoretical Fluid Mechanics, Department of Mechanical Engineering, Technische Universitat Ilmenau, P.O.Box 100565, D-98684 Ilmenau, Germany

Abstract

The classical picture of one mean dissipation scale which is known as the Kolmogorov length can be extended to a continuum of local dissipation scales in order to capture for the intermittent nature of small-scale turbulence. The distribution of these local dissipation scales is found to agree with a recently calculated analytical form. We discuss consequences of this generalized perspective for the decay of energy spectra in the far-dissipation range and the turbulent mixing of passive scalars in the viscous-convective range at Schmidt numbers larger than unity.